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If you did these additional hours because they were short-staffed, and the director recorded them as additional teaching hours, because it is not possible for you to get what you are entitled to except by this means, then it does not seem to us that there is anything wrong with that, because you are entitled to be paid for your work, and what the director did was done for a purpose, which has been achieved in this case. Such things are customary in many institutions; if the directors adhered to the letter of the law, a great deal of work would not get done.
And Allaah knows best.